79 citations · 356 across the 65 of their papers we have counts for
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math.AP2015★ 8 cited
Layer potentials, Green's formulae, Kac's problem, and refined Hardy inequality on homogeneous Carnot groups
Michael Ruzhansky, Durvudkhan Suragan
We propose the analogues of boundary layer potentials for the sub-Laplacian on homogeneous Carnot groups/stratified Lie groups and prove continuity results for them. In particular,…
math.AP2015★ 30 cited
On Kac's principle of not feeling the boundary for the Kohn Laplacian on the Heisenberg group
Michael Ruzhansky, Durvudkhan Suragan
In this note we construct an integral boundary condition for the Kohn Laplacian in a given domain on the Heisenberg group extending to the setting of the Heisenberg group M. Kac's…